9x2-17x=10x-8

Solution for 9x2-17x=10x-8 equation:

9x^2-17x=10x-8

We move all terms to the left:

9x^2-17x-(10x-8)=0

We get rid of parentheses

9x^2-17x-10x+8=0

We add all the numbers together, and all the variables

9x^2-27x+8=0

a = 9; b = -27; c = +8;
Δ = b2-4ac
Δ = -272-4·9·8
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-21}{2*9}=\frac{6}{18}
=1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+21}{2*9}=\frac{48}{18}
=2+2/3
$